Question

A normal distribution has a mean of 137 and a standard deviation of 6. Find the z-score for a data value of 155.

Round to two decimal places

Answer 1

3

Explanation:

To find the z-score for a data value of 155 in a normal distribution with a mean of 137 and a standard deviation of 6, you can use the formula:

z = (x - μ) / σ

where:

x is the data value,

μ is the mean, and

σ is the standard deviation.

Plugging in the values, we have:

z = (155 - 137) / 6

Calculating this expression:

z = 18 / 6 = 3